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Finding the Third Proportional to 128,362 and 281,524

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Solution

The third proportional to 128,362 and 281,524 is: 617,439.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,362 : 281,524 = 281,524 : x
  2. Step 2: Convert to fraction form
    128,362/281,524 = 281,524/x
  3. Step 3: Cross multiply
    128,362x = 281,524 × 281,524
  4. Step 4: Simplify right side
    128,362x = 79,255,762,576
  5. Step 5: Solve for x
    x = 79,255,762,576/128,362
  6. Step 6: Final answer
    x = 617,439.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.